Pith Number

pith:ZVWSBPIJ

pith:2016:ZVWSBPIJ5DQSGW3IQB2VIK5R7T

not attested not anchored not stored refs pending

The topological property of the irregular sets on the lengths of basic intervals in beta-expansions

Bing Li, Lixuan Zheng, Min Wu

arxiv:1604.01470 v5 · 2016-04-06 · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZVWSBPIJ5DQSGW3IQB2VIK5R7T}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:54:58.068681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd6d20bd09e8e1235b688075542bb1fcee7dfdd1b83a7b14ff26cffab5dc05c0

Aliases

arxiv: 1604.01470 · arxiv_version: 1604.01470v5 · doi: 10.48550/arxiv.1604.01470 · pith_short_12: ZVWSBPIJ5DQS · pith_short_16: ZVWSBPIJ5DQSGW3I · pith_short_8: ZVWSBPIJ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZVWSBPIJ5DQSGW3IQB2VIK5R7T \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: cd6d20bd09e8e1235b688075542bb1fcee7dfdd1b83a7b14ff26cffab5dc05c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8341fbd6b5c8fb2d2ca7b505c11fd7c0945d4f492087e623e2016a86eae631d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-04-06T03:24:39Z",
    "title_canon_sha256": "6d1cb341bdfaa27f708ee7b4db40ba26d063bab9c2664419138ba08326af6072"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.01470",
    "kind": "arxiv",
    "version": 5
  }
}